Results 41 to 50 of about 43,404 (168)
The new wave structures to the perturbed NLSE via Wiener process with its wide-ranging applications
AIP Advances, 2023 This article extracts stochastic soliton waves for the perturbed nonlinear Schödinger’s equation (PNLSE) forced by multiplicative noise through the Itô sense by utilizing two unified solver methods.
E. S. Aly +6 more
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Exact solutions of the stochastic new coupled Konno-Oono equation
Results in Physics, 2021 In this paper we consider the stochastic Konno-Oono equation, which is forced by multiplicative noise. In order to find exact solutions of stochastic nonlinear Konno-Oono equations, generalized G′G-expansion method are implemented.
Wael W. Mohammed +3 more
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Recursive formulae for the multiplicative partition function
International Journal of Mathematics and Mathematical Sciences, 1999 For a positive integer n, let f(n) be the number of essentially different ways of writing n as a product of factors greater than 1, where two factorizations of a positive integer are said to be essentially the same if they differ only in the order of the
Jun Kyo Kim, Sang Guen Hahn
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Journal of Function Spaces, 2022 In this paper, the (2+1)-dimensional nonlinear conformable fractional stochastic Schrödinger system (NCFSSS) generated by the multiplicative Brownian motion is treated. To get new rational, trigonometric, hyperbolic, and elliptic stochastic solutions, we
Sahar Albosaily +5 more
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WNTs: Multiple Genes, Multiple Functions [PDF]
Journal of Investigative Dermatology, 2003 The development of ectodermal appendages such as hair, feathers and teeth has long fascinated biologists, who have attempted to understand how cells of different types interact with each other to induce the coordinated changes in cell shape, proliferation, adhesion and movement required for the formation of these intricate three-dimensional structures.
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Multiplicative functionals and entire functions, II [PDF]
Studia Mathematica, 1997 [Part I, cf. Stud. Math. 119, No. 3, 289-297 (1996; Zbl 0868.46037).] The following result is proved in this very interesting paper: Let \(A\) be a complex Banach algebra with a unit \(e\), let \(F\) be a nonconstant entire function, and let \(T\) be a linear functional with \(T(e) = 1\) and such that \(T\circ F\) defined from \(A\) to the complex ...
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Multiplicative functions and Ramanujan's τ-function [PDF]
Journal of the Australian Mathematical Society, 1981 AbstractIt is proved that (|τ(n)|n−11/2)δ has a mean-value for 0 <δ > < 2, where τ(n) is Ramanujan's function from modular arithmetic. Some further results are conjectured.
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Multiple Gamma functions and $L$-functions [PDF]
Mathematical Research Letters, 1996 Multiple gamma functions, first introduced and studied by E. W. Barnes and others around 1900, play an important role in the study of functional equations for Selberg zeta functions and other topics in modern analytic number theory. This paper makes a case for defining a multiple gamma function as a meromorphic function \(\Gamma_P(u)\) associated with ...
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A Pexiderized Cosine Functional Equation
Annales Mathematicae SilesianaeLet S be a semigroup and K be a field. In a recent article we introduced a new cosine functional equation g(xyz) − g(x)g(yz) − g(y)g(xz) − g(z)g(xy) + 2g(x)g(y)g(z) = 0 for an unknown function g : S → K.
Ebanks Bruce
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Construction of the beta distributions using the random permutation divisors
Nonlinear AnalysisA subset of cycles comprising a permutation σ in the symmetric group Sn, n ∈ N, is called a divisor of σ. Then the partial sums over divisors with sizes up to un, 0 ≤ u ≤ 1, of values of a nonnegative multiplicative function on a random permutation ...
Gintautas Bareikis +1 more
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